查询词典 birational invariant

When the CDOM concentration ρ≥150mg/L, the excitation and emission wavelengths in the SFS spectrograms moved blue with decreasing CDOM concentration, and the SFS spectral shapes also changed; when ρ50mg/L, the excitation and smission wavelegths in the SFS spectrograms didn't move, and the SFS spectral shapes were invariant, but the fluorescence intensity decreased with decreasing CDOM concentration.

不同质量浓度CDOM水溶液的SFS显示，当质量浓度ρ≥150mg/L时，随着质量浓度降低，激发和发射波长也向短波长方向移动，其谱形也发生变化；当ρ50mg/L时，激发和发射波长不发生漂移，谱形不变，荧光强度随质量浓度降低而降低。

The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.

取得这样结果的最省力的尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。

First,The properties of the spherical Bezier Curvesproposed by Ken Shoemake(Spherical Bezier curve of first kind)are listed,such asEndpoint property,Symmetry property,Invariant property under solid motion,Spherical convex hull property,etc.,and the fact that this kind of spherical BezierCurve is devoid of subdivision property is pointed out;Based on subdivision,theconcept of a new kind of spherical Bezier curve(Spherical Bezier curve of secondkind)is proposed.This kind of spherical Bezier curve is continuous differentiable.Furthermore,generalization of Bezier curve on more comprehensive manifolds isdiscussed.2Spherical Chaikin algorithm and general spherical corner-cuttingalgorithm.

首先，文中列举了Ken Shoemake提出的点点生成的球面Bezier曲线(第一类球面Bezier曲线)的性质，如端点性质、对称性质、运动不变性质、球面凸包性质等，并指出这种球面Bezier曲线没有剖分性质；基于细分，文中给出了一种新的球面Bezier曲线(第二类球面Bezier曲线)的构造方法，指出这种曲线是连续可微的；作为这些理论的应用，文中改进了Ken Shoemake提出的球面插值曲线构造方法；进一步，文中探讨了Bezier曲线在更广泛的流形上的推广方法。2球面Chaikin算法和一般的球面割角算法。

There are two mature methods to simulate: Spherically Invariant Random Process and Zero Memory Nonlinearity.

目前有两种方法比较成熟：一种是球形不变随机过程法(Spherically Invariant Random Process， SIRP)，另一种是无记忆非线性变换(Zero Memory Nonlinearity， ZMNL)。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

The relation between the parameter of ground motion and time is transformed into a pure random process with the amplitude varying with time. Based on the concept that there is the scaling invariant fractal structure in the transmission of earthquake motion and the self-affinity of the ground motion signal in time domain, an assumption is deduced that the curve of the stationary random noise of the ground motion varying with time is a fractal graph.

将一个运动参数的时间变化过程转化为具有时变振幅的一个纯随机振荡问题，运用地震运动传递具有无特征尺度的分形结构和地运动时域信号具有统计自相似性的概念，提出地面运动随机平稳噪声的时变曲线是一条分形曲线的假设。

Accordingly, the first invariant I〓 of the strain tensor will be zero in the infinitesimal plastic theory.

在小变形理论中表示就是其应变的第一不变量I〓=0。

In the present paper,a sharp inequality is obtained between the Ricci curvature and the squared mean curvature of semi-invariant submanifold s in cosymplectic space forms,and some conditions are reached to make the equality hold.

对余辛流形的半不变子流形进行研究，利用曲率的分量表示之间的简单的代数关系，得到了这类子流形的R icc i曲率与平均曲率平方之间的一个不等式，并讨论了等式成立的充分必要条件

Correlation of submaxillas curve has been test, and experiments show that curves of submaxilla from the same person are correlated, while the curves of submaxilla from different persons are uncorrelated. 4. The feature of skull contour has been extracted by using polar -radius-invariant-moment, Fourier descriptors and wavelet descriptors separately.

4：将极半径不变矩、傅立叶描述子、小波描述子作为提取颅骨轮廓和眼眶轮廓信息的主要手段，并且构造了应用于眼眶边界的相对量作为特征量。

In chapter 4, we study homological dimensions of H-invariant subring for Hopf astions and smash coproducts.

在第四章，我们研究了Hopf作用的不变子环与smash余积的同调维数。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。